151023264 has 48 divisors (see below), whose sum is σ = 453071808. Its totient is φ = 43149312.

The previous prime is 151023263. The next prime is 151023269. The reversal of 151023264 is 462320151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×151023264³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (151023263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111697 + ... + 113040.

It is an arithmetic number, because the mean of its divisors is an integer number (9438996).

Almost surely, 2^151023264 is an apocalyptic number.

151023264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151023264 is an abundant number, since it is smaller than the sum of its proper divisors (302048544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151023264 is a wasteful number, since it uses less digits than its factorization.

151023264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224757 (or 224749 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 151023264 is about 12289.1522897228. The cubic root of 151023264 is about 532.5347478923.

The spelling of 151023264 in words is "one hundred fifty-one million, twenty-three thousand, two hundred sixty-four".